WZ and XR are diameters of circle C. The diagram is not drawn to scale. (1 point)

Question

Z
97°
X
41°
R
W
What is the measure of ZWX?
318°
277°
221°
42°

Answer 1

We know that WZ and XR are diameters, which means they intersect at the center of the circle. Let's call that point O.

Using the angle measures given, we can find that angle WXR is:

WXR = 180° - 97° - 41° = 42°

Now we have a triangle with angles of 41°, 42°, and 97°. We want to find the measure of angle ZOX (which we'll call y), since that will give us the measure of ZWX (which is just 2y).

Using the fact that the angles in a triangle add up to 180°, we know:

y + 97° + 42° = 180°

Simplifying:

y = 41°

So ZOX is 41°, and ZWX is twice that:

ZWX = 2(41°) = 82°

Therefore, the answer is not shown as an option but the closest one is 221°.